Non-conforming finite element and artificial boundary in multi-atomic Young measure approximation for micromagnetics

DOI10.1016/j.apnum.2008.03.037zbMath1175.78025OpenAlexW1994210941MaRDI QIDQ1012241

Xianmin Xu, Zhiping Li

Publication date: 15 April 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.03.037

zbMATH Keywords

stabilityconvergencemicromagneticsartificial boundarynon-conforming finite elementmulti-atomic Young measure

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Methods involving semicontinuity and convergence; relaxation (49J45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electro- and magnetostatics (78A30)

Related Items (1)

Convergence and stability of a numerical method for micromagnetics

Cites Work

• Energy minimizers for large ferromagnetic bodies
• Relaxation in ferromagnetism: The rigid case
• Parametrized measures and variational principles
• Multi-atomic Young measure and artificial boundary in approximation of micromagnetics
• Beyond Young measures
• Numerical approximation of Young measures in non-convex variational problems
• A periodic relaxation method for computing microstructures
• Change of variables for absolutely continuous functions
• A Uniformly Accurate Finite Element Method for the Reissner–Mindlin Plate
• ROTATIONAL TRANSFORMATION METHOD AND SOME NUMERICAL TECHNIQUES FOR COMPUTING MICROSTRUCTURES
• Error Estimates for the Finite Element Approximation of Problems in Unbounded Domains
• Stabilization methods in relaxed micromagnetism
• Numerical Analysis for a Macroscopic Model in Micromagnetics
• The p‐version of the finite element method for domains with corners and for infinite domains
• Direct methods in the calculus of variations
• A mesh transformation method for computing microstructures
• Young measure approximation in micromagnetics
• Numerical analysis of relaxed micromagnetics by penalised finite elements
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